Question

The supreme choice pizza at Pizza Paradise contains 22 different meats and 33 different vegetables. The customer can select any one of 33 types of crust. If there are 55 meats and 88 vegetables to choose from, how many different supreme choice pizzas can be made?

Answer 1

1680 possible pizzas

Explanation:

Pizza contains 2 different meat and 3 different vegetables.

If there are 5 meats and 8 vegetables, the customer can select any one of 3 types of crust.

Total number of ways to select meat = 5C2

nCr = n! /(n-r)! r!

5C2 = 5! / (5-2)!2!

= 5! / 3!2!

= 10

Total number of ways to select vegetables = 8C3

= 8!/(8-3)!3!

= 8! / 5!3!

= 56

Total number of pizza choice that can be made = 3 * 5C2 * 8C3

= 3*10*56

= 1680 possible pizza